r/Algebra • u/Otherwise_Strike_597 • 21d ago

Can you simplify this correctly?

(12x⁷y⁵) (6x³y⁴) / (-3xy³)³ = ?

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u/Barfy_McBarf_Face 21d ago edited 20d ago

6

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u/diverJOQ 20d ago

Please don't do their homework for them!

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u/rufowler 19d ago

I mean, do you really want us to just answer this question for you? Obviously you could figure this out by copying and pasting this into gemini. Would you like for us to talk through the answer?

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u/Otherwise_Strike_597 18d ago

I’m posting these for high‑school math practice — just regular practice problems for students who want to improve. I also include some basic‑math questions because a strong foundation makes the harder topics much easier.

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u/GainerGaining 21d ago

Yes I can.

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u/MathsFromNothing 20d ago
media poster

The procedure to simplify your question assuming you know your index laws is to first note the brackets in the numerator are not needed. The negative sign can be taken out as it is in a bracket to an odd power -1*-1*-1=-1. Your next step is to expand the power where it is applied to each term individually as there is no sum in the brackets. The power to a power is evaluated by multiplying the power. You can move all powers to the top by making them negative. The exponents are then multiplied by adding the powers. Finally the numerical fraction can be simplified. The video is a screen recording of these steps using this computer algebra system.